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Finding the Fourth Proportional to 37,459, 51,693.96 and 20,692

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Solution

The fourth proportional to 37,459, 51,693.96 and 20,692 is: 28,555.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,459 : 51,693.96 = 20,692 : x
  2. Step 2: Convert to fraction form
    37,459/51,693.96 = 20,692/x
  3. Step 3: Cross multiply
    37,459x = 51,693.96 × 20,692
  4. Step 4: Simplify right side
    37,459x = 1,069,651,420.32
  5. Step 5: Solve for x
    x = 1,069,651,420.32/37,459
  6. Step 6: Final answer
    x = 28,555.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.